Mathematics
Advanced
50 mins
Teacher/Student led
+65 XP
What you need:
IWB/Projector/Large Screen

Design a Class Garden Bed

Design a garden bed for the school grounds by measuring and calculating its perimeter, growing area, and soil volume, then justify your measurements.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedHere is the corner of the school grounds where we could build a class garden bed.

    If we wanted to build a bed 2 metres long and 3 metres wide, what three different things would we need to measure or work out before we could actually build it and fill it with soil?

    2 - Watch and Notice ~8 mins

    Watch two garden beds on the board. The first is a plain 2 m by 3 m rectangle. To find the edging, add the four sides: 2 + 3 + 2 + 3 = 10 m. To find the growing space inside, multiply length × width: 2 × 3 = 6 m².

    Now watch the same bed shown as a solid, filled to a depth of 0.3 m. The soil is the growing space × the depth: 6 × 0.3 = 1.8 m³.

    Some beds are not simple rectangles. Here is an L-shaped bed. We can draw one straight line to split it into two rectangles you already know how to measure, and the two areas add together to give the whole.

    3 - Try It Together ~11 mins

    Today we design one garden bed together and measure it three ways. We'll work through these on the board:

    1. Drag the corners to make the bed 4 m long and 2 m wide.
    2. Read the edging round the outside and the growing space inside.
    3. Switch to the solid view and fill it to a depth of 0.3 m to find the soil.
    4. Stretch the bed to 5 m by 2 m and watch every number change.

    Shape Measurer

    4 - Sketch Your Bed in Your Copy ~3 mins

    COPYBOOK MOMENT

    Illustration for Sketch Your Bed in Your CopyIn your maths copy, sketch your own garden-bed design and label the length of every side along its edge.

    Underneath the sketch, work out the three measures on separate lines and underline each answer:

    • Perimeter (add all the sides) = ? m
    • Area (length × width) = ? m²
    • Soil volume (area × depth of 0.3 m) = ? m³

    5 - Class Challenge ~8 mins

    Now design your own garden bed and prove it works, one design at a time. We'll work these together on the board.

    Key point

    First, a straight 3 m by 2 m bed. Then a 4 m by 3 m bed. Then we learn the L-shape edging move with one worked example on the board: an L made from a 3 m by 2 m rectangle joined to a 2 m by 2 m rectangle. Label every outer side, walk right round the outside only (the join inside gets no edging), and add those lengths for the perimeter. Add the two areas for the growing space, then multiply by a depth of 0.3 m for the soil. For the stretch, design an L-shaped bed with exactly 12 m² of growing area made from two rectangles that add together. For each one we find the edging, the growing space, and the soil at 0.3 m deep.

    Shape Measurer

    Pupil practice
    Module 4 · Measures: Length, Mass, Capacity, Area, Volume Measures
    Lesson 58 · Design a Class Garden Bed
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